125124330122400 has 216 divisors, whose sum is σ = 473774339001600. Its totient is φ = 28599846858240.

The previous prime is 125124330122381. The next prime is 125124330122419. The reversal of 125124330122400 is 4221033421521.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (125124330122381) and next prime (125124330122419).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 531873600 + ... + 532108799.

It is an arithmetic number, because the mean of its divisors is an integer number (2193399717600).

Almost surely, 2^{125124330122400} is an apocalyptic number.

125124330122400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125124330122400 is an abundant number, since it is smaller than the sum of its proper divisors (348650008879200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125124330122400 is a wasteful number, since it uses less digits than its factorization.

125124330122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063982436 (or 1063982416 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 125124330122400 its reverse (4221033421521), we get a palindrome (129345363543921).

The spelling of 125124330122400 in words is "one hundred twenty-five trillion, one hundred twenty-four billion, three hundred thirty million, one hundred twenty-two thousand, four hundred".